TY - CHAP AU - Brillouet-Belluot, N. AU - Brzdȩk, J. AU - Cieplinski, K. PY - 2012 DA - 2012// TI - On some recent developments in Ulam’s type stability BT - Abstr. Appl. Anal ID - Brillouet-Belluot2012 ER - TY - BOOK AU - Czerwik, S. PY - 2002 DA - 2002// TI - Functional Equations and Inequalities in Several Variables PB - World Scientific CY - River Edge UR - https://doi.org/10.1142/4875 DO - 10.1142/4875 ID - Czerwik2002 ER - TY - JOUR AU - Hyers, D. H. PY - 1941 DA - 1941// TI - On the stability of the linear functional equation JO - Proc. Natl. Acad. Sci. USA VL - 27 UR - https://doi.org/10.1073/pnas.27.4.222 DO - 10.1073/pnas.27.4.222 ID - Hyers1941 ER - TY - BOOK AU - Hyers, D. H. AU - Isac, G. AU - Rassias, T. M. PY - 1998 DA - 1998// TI - Stability of Functional Equations in Several Variables PB - Birkhäuser CY - Boston UR - https://doi.org/10.1007/978-1-4612-1790-9 DO - 10.1007/978-1-4612-1790-9 ID - Hyers1998 ER - TY - JOUR AU - Hyers, D. H. AU - Rassias, T. M. PY - 1992 DA - 1992// TI - Approximate homomorphisms JO - Aequ. Math VL - 44 UR - https://doi.org/10.1007/BF01830975 DO - 10.1007/BF01830975 ID - Hyers1992 ER - TY - BOOK AU - Jung, S. -. M. PY - 2011 DA - 2011// TI - Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis PB - Springer CY - New York UR - https://doi.org/10.1007/978-1-4419-9637-4 DO - 10.1007/978-1-4419-9637-4 ID - Jung2011 ER - TY - JOUR AU - Rassias, T. M. PY - 1978 DA - 1978// TI - On the stability of the linear mapping in Banach spaces JO - Proc. Am. Math. Soc VL - 72 UR - https://doi.org/10.1090/S0002-9939-1978-0507327-1 DO - 10.1090/S0002-9939-1978-0507327-1 ID - Rassias1978 ER - TY - BOOK AU - Ulam, S. M. PY - 1964 DA - 1964// TI - Problems in Modern Mathematics PB - Wiley CY - New York ID - Ulam1964 ER - TY - JOUR AU - Obłoza, M. PY - 1993 DA - 1993// TI - Hyers stability of the linear differential equation JO - Rocznik Nauk.-Dydakt. Prace Mat VL - 13 ID - Obłoza1993 ER - TY - JOUR AU - Obłoza, M. PY - 1997 DA - 1997// TI - Connections between Hyers and Lyapunov stability of the ordinary differential equations JO - Rocznik Nauk.-Dydakt. Prace Mat VL - 14 ID - Obłoza1997 ER - TY - JOUR AU - Alsina, C. AU - Ger, R. PY - 1998 DA - 1998// TI - On some inequalities and stability results related to the exponential function JO - J. Inequal. Appl VL - 2 ID - Alsina1998 ER - TY - JOUR AU - Takahasi, S. -. E. AU - Miura, T. AU - Miyajima, S. PY - 2002 DA - 2002// TI - On the Hyers-Ulam stability of the Banach space-valued differential equation y′=λy JO - Bull. Korean Math. Soc VL - 39 UR - https://doi.org/10.4134/BKMS.2002.39.2.309 DO - 10.4134/BKMS.2002.39.2.309 ID - Takahasi2002 ER - TY - JOUR AU - Miura, T. PY - 2002 DA - 2002// TI - On the Hyers-Ulam stability of a differentiable map JO - Sci. Math. Jpn VL - 55 ID - Miura2002 ER - TY - JOUR AU - Miura, T. AU - Jung, S. -. M. AU - Takahasi, S. -. E. PY - 2004 DA - 2004// TI - Hyers-Ulam-Rassias stability of the Banach space valued differential equations y′=λy JO - J. Korean Math. Soc VL - 41 UR - https://doi.org/10.4134/JKMS.2004.41.6.995 DO - 10.4134/JKMS.2004.41.6.995 ID - Miura2004 ER - TY - JOUR AU - Miura, T. AU - Miyajima, S. AU - Takahasi, S. -. E. PY - 2003 DA - 2003// TI - A characterization of Hyers-Ulam stability of first order linear differential operators JO - J. Math. Anal. Appl VL - 286 UR - https://doi.org/10.1016/S0022-247X(03)00458-X DO - 10.1016/S0022-247X(03)00458-X ID - Miura2003 ER - TY - JOUR AU - Miura, T. AU - Miyajima, S. AU - Takahasi, S. -. E. PY - 2003 DA - 2003// TI - Hyers-Ulam stability of linear differential operator with constant coefficients JO - Math. Nachr VL - 258 UR - https://doi.org/10.1002/mana.200310088 DO - 10.1002/mana.200310088 ID - Miura2003 ER - TY - JOUR AU - Cimpean, D. S. AU - Popa, D. PY - 2010 DA - 2010// TI - On the stability of the linear differential equation of higher order with constant coefficients JO - Appl. Math. Comput VL - 217 UR - https://doi.org/10.1016/j.amc.2010.09.062 DO - 10.1016/j.amc.2010.09.062 ID - Cimpean2010 ER - TY - JOUR AU - Cimpean, D. S. AU - Popa, D. PY - 2011 DA - 2011// TI - Hyers-Ulam stability of Euler’s equation JO - Appl. Math. Lett VL - 24 UR - https://doi.org/10.1016/j.aml.2011.03.042 DO - 10.1016/j.aml.2011.03.042 ID - Cimpean2011 ER - TY - JOUR AU - Jung, S. -. M. PY - 2004 DA - 2004// TI - Hyers-Ulam stability of linear differential equations of first order JO - Appl. Math. Lett VL - 17 UR - https://doi.org/10.1016/j.aml.2003.11.004 DO - 10.1016/j.aml.2003.11.004 ID - Jung2004 ER - TY - JOUR AU - Jung, S. -. M. PY - 2006 DA - 2006// TI - Hyers-Ulam stability of linear differential equations of first order, II JO - Appl. Math. Lett VL - 19 UR - https://doi.org/10.1016/j.aml.2005.11.004 DO - 10.1016/j.aml.2005.11.004 ID - Jung2006 ER - TY - JOUR AU - Jung, S. -. M. PY - 2005 DA - 2005// TI - Hyers-Ulam stability of linear differential equations of first order, III JO - J. Math. Anal. Appl VL - 311 UR - https://doi.org/10.1016/j.jmaa.2005.02.025 DO - 10.1016/j.jmaa.2005.02.025 ID - Jung2005 ER - TY - JOUR AU - Jung, S. -. M. PY - 2006 DA - 2006// TI - Hyers-Ulam stability of a system of first order linear differential equations with constant coefficients JO - J. Math. Anal. Appl VL - 320 UR - https://doi.org/10.1016/j.jmaa.2005.07.032 DO - 10.1016/j.jmaa.2005.07.032 ID - Jung2006 ER - TY - JOUR AU - Lungu, N. AU - Popa, D. PY - 2012 DA - 2012// TI - On the Hyers-Ulam stability of a first order partial differential equation JO - Carpath. J. Math VL - 28 ID - Lungu2012 ER - TY - JOUR AU - Lungu, N. AU - Popa, D. PY - 2012 DA - 2012// TI - Hyers-Ulam stability of a first order partial differential equation JO - J. Math. Anal. Appl VL - 385 UR - https://doi.org/10.1016/j.jmaa.2011.06.025 DO - 10.1016/j.jmaa.2011.06.025 ID - Lungu2012 ER - TY - JOUR AU - Popa, D. AU - Rasa, I. PY - 2012 DA - 2012// TI - The Frechet functional equation with application to the stability of certain operators JO - J. Approx. Theory VL - 164 UR - https://doi.org/10.1016/j.jat.2011.09.009 DO - 10.1016/j.jat.2011.09.009 ID - Popa2012 ER - TY - CHAP AU - Jung, S. -. M. PY - 2007 DA - 2007// TI - Legendre’s differential equation and its Hyers-Ulam stability BT - Abstr. Appl. Anal ID - Jung2007 ER - TY - JOUR AU - Jung, S. -. M. PY - 2008 DA - 2008// TI - Approximation of analytic functions by Airy functions JO - Integral Transforms Spec. Funct VL - 19 UR - https://doi.org/10.1080/10652460802321287 DO - 10.1080/10652460802321287 ID - Jung2008 ER - TY - JOUR AU - Jung, S. -. M. PY - 2009 DA - 2009// TI - Approximation of analytic functions by Hermite functions JO - Bull. Sci. Math VL - 133 UR - https://doi.org/10.1016/j.bulsci.2007.11.001 DO - 10.1016/j.bulsci.2007.11.001 ID - Jung2009 ER - TY - JOUR AU - Jung, S. -. M. PY - 2009 DA - 2009// TI - Approximation of analytic functions by Legendre functions JO - Nonlinear Anal VL - 71 UR - https://doi.org/10.1016/j.na.2008.10.007 DO - 10.1016/j.na.2008.10.007 ID - Jung2009 ER - TY - CHAP AU - Jung, S. -. M. PY - 2010 DA - 2010// TI - Hyers-Ulam stability of differential equation y″+2xy′−2ny=0 BT - J. Inequal. Appl ID - Jung2010 ER - TY - CHAP AU - Jung, S. -. M. PY - 2010 DA - 2010// TI - Approximation of analytic functions by Kummer functions BT - J. Inequal. Appl ID - Jung2010 ER - TY - JOUR AU - Jung, S. -. M. PY - 2011 DA - 2011// TI - Approximation of analytic functions by Laguerre functions JO - Appl. Math. Comput VL - 218 UR - https://doi.org/10.1016/j.amc.2011.01.086 DO - 10.1016/j.amc.2011.01.086 ID - Jung2011 ER - TY - CHAP AU - Jung, S. -. M. AU - Rassias, T. M. PY - 2011 DA - 2011// TI - Approximation of analytic functions by Chebyshev functions BT - Abstr. Appl. Anal ID - Jung2011 ER - TY - CHAP AU - Kim, B. AU - Jung, S. -. M. PY - 2007 DA - 2007// TI - Bessel’s differential equation and its Hyers-Ulam stability BT - J. Inequal. Appl ID - Kim2007 ER - TY - BOOK AU - Ross, C. C. PY - 1995 DA - 1995// TI - Differential Equations - An Introduction with Mathematica PB - Springer CY - New York ID - Ross1995 ER - TY - BOOK AU - Kreyszig, E. PY - 2006 DA - 2006// TI - Advanced Engineering Mathematics PB - Wiley CY - New York ID - Kreyszig2006 ER -